Diana Frost Shelstad (born August 19, 1947 in Sydney)[1] is a mathematician known for her work in automorphic forms. She is a professor at Rutgers University–Newark.[2] She earned her doctorate at Yale University in 1974 studying real reductive algebraic groups.[3]
Shelstad has been a key player in the development of the theory of endoscopy which is part of Langlands program.[4] She co-conjectured the fundamental lemma with Robert Langlands in 1984. After over 20 years, this conjecture was solved by Ngô Bảo Châu in 2009, thus opening up a wealth of consequences.[5]
In 1999, Shelstad developed a theory of twisted endoscopy with Robert Kottwitz. In 2008–9 she completed work on tempered endoscopy.
In 2012 she became a fellow of the American Mathematical Society.[6]
The purpose of this paper is to review Diana Shelstad's results on endoscopy for real reductive groups
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